Metrics for fabs fraction 2

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 8 to 8 computations (0% saved)

sample625.0ms (39.7%)

Memory

-2.6MiB live, 799.3MiB allocated; 245ms collecting garbage

Samples

451.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 205.0ms

ival-sub!: 91.0ms (44.5% of total)

ival-div!: 62.0ms (30.3% of total)

ival-fabs: 50.0ms (24.4% of total)

adjust: 1.0ms (0.5% of total)

Bogosity

preprocess62.0ms (3.9%)

Memory

-15.8MiB live, 77.8MiB allocated; 31ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	36
1	67	36
2	182	36
3	554	36
4	2234	36

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64))

Symmetry

(sort a b)

Compiler

Compiled 12 to 12 computations (0% saved)

series4.0ms (0.3%)

Memory

10.2MiB live, 10.2MiB allocated; 0ms collecting garbage

Counts

6 → 15

Calls

Call 1

Inputs
(/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64))
(fabs.f64 (-.f64 a b))
(-.f64 a b)
a
b
#s(literal 2 binary64)

Outputs
#s(approx (/ (fabs (- a b)) 2) #s(hole binary64 (* 1/2 (fabs (- a b)))))
#s(approx (fabs (- a b)) #s(hole binary64 (fabs (- a b))))
#s(approx (- a b) #s(hole binary64 (* -1 b)))
#s(approx (- a b) #s(hole binary64 (- a b)))
#s(approx a #s(hole binary64 a))
#s(approx (- a b) #s(hole binary64 (* a (+ 1 (* -1 (/ b a))))))
#s(approx (/ (fabs (- a b)) 2) #s(hole binary64 (* 1/2 (fabs (neg (+ b (* -1 a)))))))
#s(approx (fabs (- a b)) #s(hole binary64 (fabs (neg (+ b (* -1 a))))))
#s(approx (- a b) #s(hole binary64 (* -1 (* a (- (/ b a) 1)))))
#s(approx (- a b) #s(hole binary64 (+ a (* -1 b))))
#s(approx b #s(hole binary64 b))
#s(approx (- a b) #s(hole binary64 (* b (- (/ a b) 1))))
#s(approx (/ (fabs (- a b)) 2) #s(hole binary64 (* 1/2 (fabs (+ a (* -1 b))))))
#s(approx (fabs (- a b)) #s(hole binary64 (fabs (+ a (* -1 b)))))
#s(approx (- a b) #s(hole binary64 (* -1 (* b (+ 1 (* -1 (/ a b)))))))

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	a	@	inf	((/ (fabs (- a b)) 2) (fabs (- a b)) (- a b) a b 2)
1.0ms	a	@	-inf	((/ (fabs (- a b)) 2) (fabs (- a b)) (- a b) a b 2)
1.0ms	b	@	-inf	((/ (fabs (- a b)) 2) (fabs (- a b)) (- a b) a b 2)
1.0ms	b	@	inf	((/ (fabs (- a b)) 2) (fabs (- a b)) (- a b) a b 2)
0.0ms	b	@	0	((/ (fabs (- a b)) 2) (fabs (- a b)) (- a b) a b 2)

rewrite267.0ms (17%)

Memory

4.2MiB live, 235.8MiB allocated; 52ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	51	173
0	55	154
1	236	152
2	1556	152
0	8597	152
1	35872	152

Stop Event

1×	iter-limit
1×	node-limit
1×	iter-limit

Counts

21 → 91

Calls

Call 1

Inputs
(/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64))
(fabs.f64 (-.f64 a b))
(-.f64 a b)
a
b
#s(literal 2 binary64)
#s(approx (/ (fabs (- a b)) 2) #s(hole binary64 (* 1/2 (fabs (- a b)))))
#s(approx (fabs (- a b)) #s(hole binary64 (fabs (- a b))))
#s(approx (- a b) #s(hole binary64 (* -1 b)))
#s(approx (- a b) #s(hole binary64 (- a b)))
#s(approx a #s(hole binary64 a))
#s(approx (- a b) #s(hole binary64 (* a (+ 1 (* -1 (/ b a))))))
#s(approx (/ (fabs (- a b)) 2) #s(hole binary64 (* 1/2 (fabs (neg (+ b (* -1 a)))))))
#s(approx (fabs (- a b)) #s(hole binary64 (fabs (neg (+ b (* -1 a))))))
#s(approx (- a b) #s(hole binary64 (* -1 (* a (- (/ b a) 1)))))
#s(approx (- a b) #s(hole binary64 (+ a (* -1 b))))
#s(approx b #s(hole binary64 b))
#s(approx (- a b) #s(hole binary64 (* b (- (/ a b) 1))))
#s(approx (/ (fabs (- a b)) 2) #s(hole binary64 (* 1/2 (fabs (+ a (* -1 b))))))
#s(approx (fabs (- a b)) #s(hole binary64 (fabs (+ a (* -1 b)))))
#s(approx (- a b) #s(hole binary64 (* -1 (* b (+ 1 (* -1 (/ a b)))))))

Outputs
(*.f64 (/.f64 (fabs.f64 (-.f64 b a)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(*.f64 (neg.f64 (fabs.f64 (-.f64 b a))) #s(literal -1/2 binary64))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 b a))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (fabs.f64 (-.f64 b a)) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 b a)))
(.f64 (.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 b a))) #s(literal 1 binary64))
(*.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64))
(pow.f64 (/.f64 #s(literal -2 binary64) (neg.f64 (fabs.f64 (-.f64 b a)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 b a))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 b a))) #s(literal -1 binary64))
(/.f64 (neg.f64 (fabs.f64 (*.f64 (-.f64 b a) #s(literal 1 binary64)))) #s(literal -2 binary64))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (fabs.f64 (-.f64 b a))))) #s(literal -2 binary64))
(/.f64 (fabs.f64 (*.f64 (-.f64 b a) #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (neg.f64 (neg.f64 (fabs.f64 (-.f64 b a)))) #s(literal 2 binary64))
(/.f64 (neg.f64 (fabs.f64 (-.f64 b a))) #s(literal -2 binary64))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 b a))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (neg.f64 (fabs.f64 (-.f64 b a)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 b a))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 b a))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal -2 binary64) (neg.f64 (fabs.f64 (-.f64 b a))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 b a))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 b a)))))
(/.f64 (fabs.f64 (-.f64 b a)) #s(literal 2 binary64))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 b a)))))
(neg.f64 (/.f64 (fabs.f64 (-.f64 b a)) #s(literal -2 binary64)))
(fma.f64 (/.f64 (fabs.f64 (-.f64 b a)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -2 binary64) (neg.f64 (fabs.f64 (-.f64 b a))))))
(fma.f64 (/.f64 (fabs.f64 (-.f64 b a)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 0 binary64) (/.f64 (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 b a))) #s(literal 1 binary64))))
(fma.f64 (/.f64 (fabs.f64 (-.f64 b a)) #s(literal 1 binary64)) #s(literal 1/2 binary64) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 b a)))))
(fma.f64 (neg.f64 (fabs.f64 (-.f64 b a))) #s(literal -1/2 binary64) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -2 binary64) (neg.f64 (fabs.f64 (-.f64 b a))))))
(fma.f64 (neg.f64 (fabs.f64 (-.f64 b a))) #s(literal -1/2 binary64) (/.f64 #s(literal 0 binary64) (/.f64 (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 b a))) #s(literal 1 binary64))))
(fma.f64 (neg.f64 (fabs.f64 (-.f64 b a))) #s(literal -1/2 binary64) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 b a)))))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 b a))) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -2 binary64) (neg.f64 (fabs.f64 (-.f64 b a))))))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 b a))) (/.f64 #s(literal 0 binary64) (/.f64 (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 b a))) #s(literal 1 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 b a))) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 b a)))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (fabs.f64 (-.f64 b a)) #s(literal 1 binary64)) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -2 binary64) (neg.f64 (fabs.f64 (-.f64 b a))))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (fabs.f64 (-.f64 b a)) #s(literal 1 binary64)) (/.f64 #s(literal 0 binary64) (/.f64 (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 b a))) #s(literal 1 binary64))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (fabs.f64 (-.f64 b a)) #s(literal 1 binary64)) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 b a)))))
(fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 b a)) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -2 binary64) (neg.f64 (fabs.f64 (-.f64 b a))))))
(fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 b a)) (/.f64 #s(literal 0 binary64) (/.f64 (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 b a))) #s(literal 1 binary64))))
(fma.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 b a)) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 b a)))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 b a))) #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -2 binary64) (neg.f64 (fabs.f64 (-.f64 b a))))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 b a))) #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (/.f64 (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 b a))) #s(literal 1 binary64))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 b a))) #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 b a)))))
(fma.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -2 binary64) (neg.f64 (fabs.f64 (-.f64 b a))))))
(fma.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64) (/.f64 #s(literal 0 binary64) (/.f64 (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 b a))) #s(literal 1 binary64))))
(fma.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 b a)))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 b a))) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -2 binary64) (neg.f64 (fabs.f64 (-.f64 b a))))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 b a))) (/.f64 #s(literal 0 binary64) (/.f64 (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 b a))) #s(literal 1 binary64))))
(+.f64 (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 b a))) (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 b a)))))
(*.f64 (sqrt.f64 (fabs.f64 (-.f64 b a))) (sqrt.f64 (fabs.f64 (-.f64 b a))))
(*.f64 #s(literal 1 binary64) (fabs.f64 (-.f64 b a)))
(pow.f64 (*.f64 (-.f64 b a) (-.f64 b a)) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 (-.f64 b a) (-.f64 b a)))
(fabs.f64 (*.f64 #s(literal 1 binary64) (-.f64 b a)))
(fabs.f64 (*.f64 #s(literal 1 binary64) (-.f64 a b)))
(fabs.f64 (neg.f64 (fabs.f64 (-.f64 b a))))
(fabs.f64 (-.f64 b a))
(fabs.f64 (fabs.f64 (-.f64 b a)))
(fabs.f64 (-.f64 a b))
(*.f64 #s(literal -1 binary64) (-.f64 b a))
(/.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (-.f64 (neg.f64 b) a))
(/.f64 (*.f64 (-.f64 b a) (+.f64 b a)) (+.f64 (neg.f64 b) (neg.f64 a)))
(/.f64 (-.f64 (.f64 (.f64 b b) (neg.f64 b)) (.f64 (.f64 a a) (neg.f64 a))) (fma.f64 (neg.f64 a) (-.f64 (neg.f64 a) b) (*.f64 b b)))
(/.f64 (*.f64 (+.f64 b a) (-.f64 a b)) (+.f64 b a))
(/.f64 (-.f64 (.f64 (.f64 a a) a) (.f64 (.f64 b b) b)) (fma.f64 (neg.f64 a) (-.f64 (neg.f64 a) b) (*.f64 b b)))
(/.f64 (-.f64 (.f64 (.f64 a a) a) (.f64 (.f64 b b) b)) (fma.f64 b (+.f64 b a) (*.f64 a a)))
(neg.f64 (-.f64 b a))
(fma.f64 #s(literal -1 binary64) b a)
(fma.f64 b #s(literal -1 binary64) a)
(-.f64 (neg.f64 b) (neg.f64 a))
(-.f64 a b)
(+.f64 (neg.f64 b) a)
(+.f64 a (neg.f64 b))
a
b
#s(literal 2 binary64)
#s(approx (/ (fabs (- a b)) 2) (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 b a))))
#s(approx (fabs (- a b)) (fabs.f64 (-.f64 b a)))
#s(approx (- a b) (neg.f64 b))
#s(approx (- a b) (-.f64 a b))
#s(approx a a)
#s(approx (- a b) (*.f64 (/.f64 (-.f64 a b) a) a))
#s(approx (/ (fabs (- a b)) 2) (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 b a))))
#s(approx (fabs (- a b)) (fabs.f64 (-.f64 b a)))
#s(approx (- a b) (*.f64 (/.f64 (-.f64 a b) a) a))
#s(approx (- a b) (-.f64 a b))
#s(approx b b)
#s(approx (- a b) (*.f64 (/.f64 (-.f64 a b) b) b))
#s(approx (/ (fabs (- a b)) 2) (*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 b a))))
#s(approx (fabs (- a b)) (fabs.f64 (-.f64 b a)))
#s(approx (- a b) (*.f64 (/.f64 (-.f64 a b) b) b))

eval8.0ms (0.5%)

Memory: 22.3MiB live, 22.3MiB allocated; 0ms collecting garbage
Compiler: Compiled 502 to 188 computations (62.5% saved)

prune3.0ms (0.2%)

Memory

7.6MiB live, 7.6MiB allocated; 0ms collecting garbage

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	77	2	79
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	78	2	80

Accuracy

100.0%

Counts

80 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	52.1%	(/.f64 (fabs.f64 #s(approx (- a b) (neg.f64 b))) #s(literal 2 binary64))
▶	100.0%	(*.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64))

Compiler

Compiled 14 to 14 computations (0% saved)

series8.0ms (0.5%)

Memory

-27.8MiB live, 18.4MiB allocated; 4ms collecting garbage

Counts

11 → 28

Calls

Call 1

Inputs
(*.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64))
(fabs.f64 (-.f64 b a))
(-.f64 b a)
b
a
#s(literal 1/2 binary64)
(/.f64 (fabs.f64 #s(approx (- a b) (neg.f64 b))) #s(literal 2 binary64))
(fabs.f64 #s(approx (- a b) (neg.f64 b)))
#s(approx (- a b) (neg.f64 b))
(neg.f64 b)
#s(literal 2 binary64)

Outputs
#s(approx (* (fabs (- b a)) 1/2) #s(hole binary64 (* 1/2 (fabs (- b a)))))
#s(approx (fabs (- b a)) #s(hole binary64 (fabs (- b a))))
#s(approx (- b a) #s(hole binary64 b))
#s(approx (- b a) #s(hole binary64 (+ b (* -1 a))))
#s(approx a #s(hole binary64 a))
#s(approx (/ (fabs (- a b)) 2) #s(hole binary64 (* 1/2 (fabs (- a b)))))
#s(approx (fabs (- a b)) #s(hole binary64 (fabs (- a b))))
#s(approx (- a b) #s(hole binary64 (* -1 b)))
#s(approx (- a b) #s(hole binary64 (- a b)))
#s(approx (- b a) #s(hole binary64 (* -1 a)))
#s(approx (- b a) #s(hole binary64 (* a (- (/ b a) 1))))
#s(approx (- a b) #s(hole binary64 (* a (+ 1 (* -1 (/ b a))))))
#s(approx (* (fabs (- b a)) 1/2) #s(hole binary64 (* 1/2 (fabs (+ b (* -1 a))))))
#s(approx (fabs (- b a)) #s(hole binary64 (fabs (+ b (* -1 a)))))
#s(approx (- b a) #s(hole binary64 (* -1 (* a (+ 1 (* -1 (/ b a)))))))
#s(approx (/ (fabs (- a b)) 2) #s(hole binary64 (* 1/2 (fabs (neg (+ b (* -1 a)))))))
#s(approx (fabs (- a b)) #s(hole binary64 (fabs (neg (+ b (* -1 a))))))
#s(approx (- a b) #s(hole binary64 (* -1 (* a (- (/ b a) 1)))))
#s(approx (- b a) #s(hole binary64 (- b a)))
#s(approx (- a b) #s(hole binary64 (+ a (* -1 b))))
#s(approx (- b a) #s(hole binary64 (* b (+ 1 (* -1 (/ a b))))))
#s(approx (- a b) #s(hole binary64 (* b (- (/ a b) 1))))
#s(approx (* (fabs (- b a)) 1/2) #s(hole binary64 (* 1/2 (fabs (neg (+ a (* -1 b)))))))
#s(approx (fabs (- b a)) #s(hole binary64 (fabs (neg (+ a (* -1 b))))))
#s(approx (- b a) #s(hole binary64 (* -1 (* b (- (/ a b) 1)))))
#s(approx (/ (fabs (- a b)) 2) #s(hole binary64 (* 1/2 (fabs (+ a (* -1 b))))))
#s(approx (fabs (- a b)) #s(hole binary64 (fabs (+ a (* -1 b)))))
#s(approx (- a b) #s(hole binary64 (* -1 (* b (+ 1 (* -1 (/ a b)))))))

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	b	@	0	((* (fabs (- b a)) 1/2) (fabs (- b a)) (- b a) b a 1/2 (/ (fabs (- a b)) 2) (fabs (- a b)) (- a b) (neg b) 2)
1.0ms	a	@	-inf	((* (fabs (- b a)) 1/2) (fabs (- b a)) (- b a) b a 1/2 (/ (fabs (- a b)) 2) (fabs (- a b)) (- a b) (neg b) 2)
1.0ms	b	@	-inf	((* (fabs (- b a)) 1/2) (fabs (- b a)) (- b a) b a 1/2 (/ (fabs (- a b)) 2) (fabs (- a b)) (- a b) (neg b) 2)
1.0ms	a	@	inf	((* (fabs (- b a)) 1/2) (fabs (- b a)) (- b a) b a 1/2 (/ (fabs (- a b)) 2) (fabs (- a b)) (- a b) (neg b) 2)
1.0ms	b	@	inf	((* (fabs (- b a)) 1/2) (fabs (- b a)) (- b a) b a 1/2 (/ (fabs (- a b)) 2) (fabs (- a b)) (- a b) (neg b) 2)

rewrite183.0ms (11.7%)

Memory

-0.5MiB live, 214.7MiB allocated; 27ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	79	351
0	86	313
1	299	309
2	1751	309
0	8098	309
1	30282	309

Stop Event

1×	iter-limit
1×	node-limit
1×	iter-limit

Counts

39 → 113

Calls

Call 1

Inputs
(*.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64))
(fabs.f64 (-.f64 b a))
(-.f64 b a)
b
a
#s(literal 1/2 binary64)
(/.f64 (fabs.f64 #s(approx (- a b) (neg.f64 b))) #s(literal 2 binary64))
(fabs.f64 #s(approx (- a b) (neg.f64 b)))
#s(approx (- a b) (neg.f64 b))
(neg.f64 b)
#s(literal 2 binary64)
#s(approx (* (fabs (- b a)) 1/2) #s(hole binary64 (* 1/2 (fabs (- b a)))))
#s(approx (fabs (- b a)) #s(hole binary64 (fabs (- b a))))
#s(approx (- b a) #s(hole binary64 b))
#s(approx (- b a) #s(hole binary64 (+ b (* -1 a))))
#s(approx a #s(hole binary64 a))
#s(approx (/ (fabs (- a b)) 2) #s(hole binary64 (* 1/2 (fabs (- a b)))))
#s(approx (fabs (- a b)) #s(hole binary64 (fabs (- a b))))
#s(approx (- a b) #s(hole binary64 (* -1 b)))
#s(approx (- a b) #s(hole binary64 (- a b)))
#s(approx (- b a) #s(hole binary64 (* -1 a)))
#s(approx (- b a) #s(hole binary64 (* a (- (/ b a) 1))))
#s(approx (- a b) #s(hole binary64 (* a (+ 1 (* -1 (/ b a))))))
#s(approx (* (fabs (- b a)) 1/2) #s(hole binary64 (* 1/2 (fabs (+ b (* -1 a))))))
#s(approx (fabs (- b a)) #s(hole binary64 (fabs (+ b (* -1 a)))))
#s(approx (- b a) #s(hole binary64 (* -1 (* a (+ 1 (* -1 (/ b a)))))))
#s(approx (/ (fabs (- a b)) 2) #s(hole binary64 (* 1/2 (fabs (neg (+ b (* -1 a)))))))
#s(approx (fabs (- a b)) #s(hole binary64 (fabs (neg (+ b (* -1 a))))))
#s(approx (- a b) #s(hole binary64 (* -1 (* a (- (/ b a) 1)))))
#s(approx (- b a) #s(hole binary64 (- b a)))
#s(approx (- a b) #s(hole binary64 (+ a (* -1 b))))
#s(approx (- b a) #s(hole binary64 (* b (+ 1 (* -1 (/ a b))))))
#s(approx (- a b) #s(hole binary64 (* b (- (/ a b) 1))))
#s(approx (* (fabs (- b a)) 1/2) #s(hole binary64 (* 1/2 (fabs (neg (+ a (* -1 b)))))))
#s(approx (fabs (- b a)) #s(hole binary64 (fabs (neg (+ a (* -1 b))))))
#s(approx (- b a) #s(hole binary64 (* -1 (* b (- (/ a b) 1)))))
#s(approx (/ (fabs (- a b)) 2) #s(hole binary64 (* 1/2 (fabs (+ a (* -1 b))))))
#s(approx (fabs (- a b)) #s(hole binary64 (fabs (+ a (* -1 b)))))
#s(approx (- a b) #s(hole binary64 (* -1 (* b (+ 1 (* -1 (/ a b)))))))

Outputs
(*.f64 (neg.f64 (fabs.f64 (-.f64 b a))) #s(literal -1/2 binary64))
(.f64 #s(literal 1 binary64) (.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64)))
(*.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 (-.f64 b a)))
(pow.f64 (/.f64 #s(literal -2 binary64) (neg.f64 (fabs.f64 (-.f64 b a)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 b a))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 b a))) #s(literal -1 binary64))
(/.f64 (neg.f64 (fabs.f64 (*.f64 (-.f64 b a) #s(literal 1 binary64)))) #s(literal -2 binary64))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (fabs.f64 (-.f64 b a))))) #s(literal -2 binary64))
(/.f64 (fabs.f64 (*.f64 (-.f64 b a) #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (neg.f64 (neg.f64 (fabs.f64 (-.f64 b a)))) #s(literal 2 binary64))
(/.f64 (neg.f64 (fabs.f64 (-.f64 b a))) #s(literal -2 binary64))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 b a))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (neg.f64 (fabs.f64 (-.f64 b a)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 b a))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 b a))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal -2 binary64) (neg.f64 (fabs.f64 (-.f64 b a))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 b a))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 b a)))))
(/.f64 (fabs.f64 (-.f64 b a)) #s(literal 2 binary64))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (fabs.f64 (-.f64 b a)))))
(neg.f64 (/.f64 (fabs.f64 (-.f64 b a)) #s(literal -2 binary64)))
(*.f64 (sqrt.f64 (fabs.f64 (-.f64 b a))) (sqrt.f64 (fabs.f64 (-.f64 b a))))
(*.f64 #s(literal 1 binary64) (fabs.f64 (-.f64 b a)))
(pow.f64 (*.f64 (-.f64 b a) (-.f64 b a)) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 (-.f64 b a) (-.f64 b a)))
(fabs.f64 (*.f64 #s(literal 1 binary64) (-.f64 b a)))
(fabs.f64 (*.f64 #s(literal 1 binary64) (-.f64 a b)))
(fabs.f64 (neg.f64 (fabs.f64 (-.f64 b a))))
(fabs.f64 (fabs.f64 (-.f64 b a)))
(fabs.f64 (-.f64 b a))
(fabs.f64 (-.f64 a b))
(*.f64 #s(literal -1 binary64) (-.f64 a b))
(/.f64 (-.f64 (.f64 (.f64 a a) (neg.f64 a)) (.f64 (.f64 b b) (neg.f64 b))) (fma.f64 a a (*.f64 b (+.f64 a b))))
(/.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (-.f64 (neg.f64 a) b))
(/.f64 (*.f64 (+.f64 a b) (-.f64 a b)) (+.f64 (neg.f64 a) (neg.f64 b)))
(/.f64 (*.f64 (+.f64 a b) (-.f64 b a)) (+.f64 a b))
(/.f64 (-.f64 (.f64 (.f64 b b) b) (.f64 (.f64 a a) a)) (fma.f64 a a (*.f64 b (+.f64 a b))))
(/.f64 (-.f64 (.f64 (.f64 b b) b) (.f64 (.f64 a a) a)) (fma.f64 a (+.f64 a b) (*.f64 b b)))
(neg.f64 (-.f64 a b))
(fma.f64 #s(literal -1 binary64) a b)
(fma.f64 a #s(literal -1 binary64) b)
(-.f64 (neg.f64 a) (neg.f64 b))
(-.f64 b a)
(+.f64 (neg.f64 a) b)
(+.f64 b (neg.f64 a))
b
a
#s(literal 1/2 binary64)
(*.f64 (neg.f64 (fabs.f64 #s(approx (- a b) (neg.f64 b)))) #s(literal -1/2 binary64))
(.f64 #s(literal 1 binary64) (.f64 (fabs.f64 #s(approx (- a b) (neg.f64 b))) #s(literal 1/2 binary64)))
(*.f64 (fabs.f64 #s(approx (- a b) (neg.f64 b))) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- a b) (neg.f64 b))))
(pow.f64 (/.f64 #s(literal -2 binary64) (neg.f64 (fabs.f64 #s(approx (- a b) (neg.f64 b))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 2 binary64) (fabs.f64 #s(approx (- a b) (neg.f64 b)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) (fabs.f64 #s(approx (- a b) (neg.f64 b)))) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (fabs.f64 #s(approx (- a b) (neg.f64 b))) #s(literal 1 binary64))) #s(literal -2 binary64))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (fabs.f64 #s(approx (- a b) (neg.f64 b)))))) #s(literal -2 binary64))
(/.f64 (*.f64 (fabs.f64 #s(approx (- a b) (neg.f64 b))) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (neg.f64 (neg.f64 (fabs.f64 #s(approx (- a b) (neg.f64 b))))) #s(literal 2 binary64))
(/.f64 (neg.f64 (fabs.f64 #s(approx (- a b) (neg.f64 b)))) #s(literal -2 binary64))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 2 binary64) (fabs.f64 #s(approx (- a b) (neg.f64 b)))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (neg.f64 (fabs.f64 #s(approx (- a b) (neg.f64 b))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) (fabs.f64 #s(approx (- a b) (neg.f64 b)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (fabs.f64 #s(approx (- a b) (neg.f64 b)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal -2 binary64) (neg.f64 (fabs.f64 #s(approx (- a b) (neg.f64 b)))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 2 binary64) (fabs.f64 #s(approx (- a b) (neg.f64 b)))) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) (fabs.f64 #s(approx (- a b) (neg.f64 b))))))
(/.f64 (fabs.f64 #s(approx (- a b) (neg.f64 b))) #s(literal 2 binary64))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (fabs.f64 #s(approx (- a b) (neg.f64 b))))))
(neg.f64 (/.f64 (fabs.f64 #s(approx (- a b) (neg.f64 b))) #s(literal -2 binary64)))
(*.f64 (sqrt.f64 (fabs.f64 #s(approx (- a b) (neg.f64 b)))) (sqrt.f64 (fabs.f64 #s(approx (- a b) (neg.f64 b)))))
(pow.f64 (*.f64 #s(approx (- a b) (neg.f64 b)) #s(approx (- a b) (neg.f64 b))) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 #s(approx (- a b) (neg.f64 b)) #s(approx (- a b) (neg.f64 b))))
(fabs.f64 (neg.f64 (neg.f64 (neg.f64 #s(approx (- a b) (neg.f64 b))))))
(fabs.f64 (neg.f64 (neg.f64 #s(approx (- a b) (neg.f64 b)))))
(fabs.f64 (neg.f64 (fabs.f64 #s(approx (- a b) (neg.f64 b)))))
(fabs.f64 (neg.f64 #s(approx (- a b) (neg.f64 b))))
(fabs.f64 (fabs.f64 #s(approx (- a b) (neg.f64 b))))
(fabs.f64 #s(approx (- a b) (neg.f64 b)))
#s(approx (- a b) (neg.f64 b))
(*.f64 #s(literal -1 binary64) b)
(*.f64 b #s(literal -1 binary64))
(neg.f64 b)
#s(literal 2 binary64)
#s(approx (* (fabs (- b a)) 1/2) (*.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64)))
#s(approx (fabs (- b a)) (fabs.f64 (-.f64 b a)))
#s(approx (- b a) b)
#s(approx (- b a) (-.f64 b a))
#s(approx a a)
#s(approx (* (fabs (- b a)) 1/2) (*.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64)))
#s(approx (fabs (- b a)) (fabs.f64 (-.f64 b a)))
#s(approx (- a b) (neg.f64 b))
#s(approx (- a b) (-.f64 a b))
#s(approx (- b a) (neg.f64 a))
#s(approx (- b a) (*.f64 (/.f64 (-.f64 b a) a) a))
#s(approx (- a b) (*.f64 (/.f64 (-.f64 a b) a) a))
#s(approx (* (fabs (- b a)) 1/2) (*.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64)))
#s(approx (fabs (- b a)) (fabs.f64 (-.f64 b a)))
#s(approx (- b a) (*.f64 (/.f64 (-.f64 b a) a) a))
#s(approx (* (fabs (- b a)) 1/2) (*.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64)))
#s(approx (fabs (- b a)) (fabs.f64 (-.f64 b a)))
#s(approx (- a b) (*.f64 (/.f64 (-.f64 a b) a) a))
#s(approx (- b a) (-.f64 b a))
#s(approx (- a b) (-.f64 a b))
#s(approx (- b a) (*.f64 (/.f64 (-.f64 b a) b) b))
#s(approx (- a b) (*.f64 (/.f64 (-.f64 a b) b) b))
#s(approx (* (fabs (- b a)) 1/2) (*.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64)))
#s(approx (fabs (- b a)) (fabs.f64 (-.f64 b a)))
#s(approx (- b a) (*.f64 (/.f64 (-.f64 b a) b) b))
#s(approx (* (fabs (- b a)) 1/2) (*.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64)))
#s(approx (fabs (- b a)) (fabs.f64 (-.f64 b a)))
#s(approx (- a b) (*.f64 (/.f64 (-.f64 a b) b) b))

eval11.0ms (0.7%)

Memory: -20.9MiB live, 25.4MiB allocated; 5ms collecting garbage
Compiler: Compiled 512 to 237 computations (53.7% saved)

prune2.0ms (0.2%)

Memory

10.4MiB live, 10.4MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	83	2	85
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	84	3	87

Accuracy

100.0%

Counts

87 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64))
▶	51.2%	(*.f64 (fabs.f64 #s(approx (- b a) (neg.f64 a))) #s(literal 1/2 binary64))
▶	52.1%	(*.f64 (fabs.f64 #s(approx (- b a) b)) #s(literal 1/2 binary64))

Compiler

Compiled 21 to 21 computations (0% saved)

series3.0ms (0.2%)

Memory

8.6MiB live, 8.6MiB allocated; 0ms collecting garbage

Counts

10 → 15

Calls

Call 1

Inputs
(*.f64 (fabs.f64 #s(approx (- b a) b)) #s(literal 1/2 binary64))
(fabs.f64 #s(approx (- b a) b))
#s(approx (- b a) b)
b
#s(literal 1/2 binary64)
(*.f64 (fabs.f64 #s(approx (- b a) (neg.f64 a))) #s(literal 1/2 binary64))
(fabs.f64 #s(approx (- b a) (neg.f64 a)))
#s(approx (- b a) (neg.f64 a))
(neg.f64 a)
a

Outputs
#s(approx (* (fabs (- b a)) 1/2) #s(hole binary64 (* 1/2 (fabs (- b a)))))
#s(approx (fabs (- b a)) #s(hole binary64 (fabs (- b a))))
#s(approx (- b a) #s(hole binary64 b))
#s(approx (- b a) #s(hole binary64 (+ b (* -1 a))))
#s(approx (neg a) #s(hole binary64 (* -1 a)))
#s(approx a #s(hole binary64 a))
#s(approx (- b a) #s(hole binary64 (* a (- (/ b a) 1))))
#s(approx (* (fabs (- b a)) 1/2) #s(hole binary64 (* 1/2 (fabs (+ b (* -1 a))))))
#s(approx (fabs (- b a)) #s(hole binary64 (fabs (+ b (* -1 a)))))
#s(approx (- b a) #s(hole binary64 (* -1 (* a (+ 1 (* -1 (/ b a)))))))
#s(approx (- b a) #s(hole binary64 (- b a)))
#s(approx (- b a) #s(hole binary64 (* b (+ 1 (* -1 (/ a b))))))
#s(approx (* (fabs (- b a)) 1/2) #s(hole binary64 (* 1/2 (fabs (neg (+ a (* -1 b)))))))
#s(approx (fabs (- b a)) #s(hole binary64 (fabs (neg (+ a (* -1 b))))))
#s(approx (- b a) #s(hole binary64 (* -1 (* b (- (/ a b) 1)))))

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	a	@	-inf	((* (fabs (- b a)) 1/2) (fabs (- b a)) (- b a) b 1/2 (* (fabs (- b a)) 1/2) (fabs (- b a)) (- b a) (neg a) a)
1.0ms	b	@	-inf	((* (fabs (- b a)) 1/2) (fabs (- b a)) (- b a) b 1/2 (* (fabs (- b a)) 1/2) (fabs (- b a)) (- b a) (neg a) a)
0.0ms	a	@	inf	((* (fabs (- b a)) 1/2) (fabs (- b a)) (- b a) b 1/2 (* (fabs (- b a)) 1/2) (fabs (- b a)) (- b a) (neg a) a)
0.0ms	b	@	inf	((* (fabs (- b a)) 1/2) (fabs (- b a)) (- b a) b 1/2 (* (fabs (- b a)) 1/2) (fabs (- b a)) (- b a) (neg a) a)
0.0ms	a	@	0	((* (fabs (- b a)) 1/2) (fabs (- b a)) (- b a) b 1/2 (* (fabs (- b a)) 1/2) (fabs (- b a)) (- b a) (neg a) a)

rewrite200.0ms (12.7%)

Memory

-18.5MiB live, 268.2MiB allocated; 35ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	54	204
0	59	185
1	242	183
2	1539	183
0	8552	183
1	35888	183

Stop Event

1×	iter-limit
1×	node-limit
1×	iter-limit

Counts

25 → 45

Calls

Call 1

Inputs
(*.f64 (fabs.f64 #s(approx (- b a) b)) #s(literal 1/2 binary64))
(fabs.f64 #s(approx (- b a) b))
#s(approx (- b a) b)
b
#s(literal 1/2 binary64)
(*.f64 (fabs.f64 #s(approx (- b a) (neg.f64 a))) #s(literal 1/2 binary64))
(fabs.f64 #s(approx (- b a) (neg.f64 a)))
#s(approx (- b a) (neg.f64 a))
(neg.f64 a)
a
#s(approx (* (fabs (- b a)) 1/2) #s(hole binary64 (* 1/2 (fabs (- b a)))))
#s(approx (fabs (- b a)) #s(hole binary64 (fabs (- b a))))
#s(approx (- b a) #s(hole binary64 b))
#s(approx (- b a) #s(hole binary64 (+ b (* -1 a))))
#s(approx (neg a) #s(hole binary64 (* -1 a)))
#s(approx a #s(hole binary64 a))
#s(approx (- b a) #s(hole binary64 (* a (- (/ b a) 1))))
#s(approx (* (fabs (- b a)) 1/2) #s(hole binary64 (* 1/2 (fabs (+ b (* -1 a))))))
#s(approx (fabs (- b a)) #s(hole binary64 (fabs (+ b (* -1 a)))))
#s(approx (- b a) #s(hole binary64 (* -1 (* a (+ 1 (* -1 (/ b a)))))))
#s(approx (- b a) #s(hole binary64 (- b a)))
#s(approx (- b a) #s(hole binary64 (* b (+ 1 (* -1 (/ a b))))))
#s(approx (* (fabs (- b a)) 1/2) #s(hole binary64 (* 1/2 (fabs (neg (+ a (* -1 b)))))))
#s(approx (fabs (- b a)) #s(hole binary64 (fabs (neg (+ a (* -1 b))))))
#s(approx (- b a) #s(hole binary64 (* -1 (* b (- (/ a b) 1)))))

Outputs
(*.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- b a) b)))
(*.f64 (fabs.f64 #s(approx (- b a) b)) #s(literal 1/2 binary64))
(*.f64 (sqrt.f64 (fabs.f64 #s(approx (- b a) b))) (sqrt.f64 (fabs.f64 #s(approx (- b a) b))))
(pow.f64 (*.f64 #s(approx (- b a) b) #s(approx (- b a) b)) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 #s(approx (- b a) b) #s(approx (- b a) b)))
(fabs.f64 (neg.f64 (neg.f64 (neg.f64 #s(approx (- b a) b)))))
(fabs.f64 (neg.f64 (fabs.f64 #s(approx (- b a) b))))
(fabs.f64 (neg.f64 (neg.f64 #s(approx (- b a) b))))
(fabs.f64 (neg.f64 #s(approx (- b a) b)))
(fabs.f64 (fabs.f64 #s(approx (- b a) b)))
(fabs.f64 #s(approx (- b a) b))
#s(approx (- b a) b)
b
#s(literal 1/2 binary64)
(*.f64 (fabs.f64 #s(approx (- b a) (neg.f64 a))) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (fabs.f64 #s(approx (- b a) (neg.f64 a))))
(*.f64 (sqrt.f64 (fabs.f64 #s(approx (- b a) (neg.f64 a)))) (sqrt.f64 (fabs.f64 #s(approx (- b a) (neg.f64 a)))))
(pow.f64 (*.f64 #s(approx (- b a) (neg.f64 a)) #s(approx (- b a) (neg.f64 a))) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 #s(approx (- b a) (neg.f64 a)) #s(approx (- b a) (neg.f64 a))))
(fabs.f64 (neg.f64 (neg.f64 (neg.f64 #s(approx (- b a) (neg.f64 a))))))
(fabs.f64 (neg.f64 (fabs.f64 #s(approx (- b a) (neg.f64 a)))))
(fabs.f64 (neg.f64 (neg.f64 #s(approx (- b a) (neg.f64 a)))))
(fabs.f64 (neg.f64 #s(approx (- b a) (neg.f64 a))))
(fabs.f64 (fabs.f64 #s(approx (- b a) (neg.f64 a))))
(fabs.f64 #s(approx (- b a) (neg.f64 a)))
#s(approx (- b a) (neg.f64 a))
(*.f64 #s(literal -1 binary64) a)
(*.f64 a #s(literal -1 binary64))
(neg.f64 a)
a
#s(approx (* (fabs (- b a)) 1/2) (*.f64 (fabs.f64 (-.f64 a b)) #s(literal 1/2 binary64)))
#s(approx (fabs (- b a)) (fabs.f64 (-.f64 a b)))
#s(approx (- b a) b)
#s(approx (- b a) (-.f64 b a))
#s(approx (neg a) (neg.f64 a))
#s(approx a a)
#s(approx (- b a) (*.f64 (/.f64 (-.f64 b a) a) a))
#s(approx (* (fabs (- b a)) 1/2) (*.f64 (fabs.f64 (-.f64 a b)) #s(literal 1/2 binary64)))
#s(approx (fabs (- b a)) (fabs.f64 (-.f64 a b)))
#s(approx (- b a) (*.f64 (/.f64 (-.f64 b a) a) a))
#s(approx (- b a) (-.f64 b a))
#s(approx (- b a) (*.f64 (/.f64 (-.f64 b a) b) b))
#s(approx (* (fabs (- b a)) 1/2) (*.f64 (fabs.f64 (-.f64 a b)) #s(literal 1/2 binary64)))
#s(approx (fabs (- b a)) (fabs.f64 (-.f64 a b)))
#s(approx (- b a) (*.f64 (/.f64 (-.f64 b a) b) b))

eval3.0ms (0.2%)

Memory: 7.2MiB live, 7.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 183 to 97 computations (47% saved)

prune2.0ms (0.2%)

Memory

5.4MiB live, 5.4MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	27	0	27
Fresh	0	0	0
Picked	0	2	2
Done	0	1	1
Total	27	3	30

Accuracy

100.0%

Counts

30 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(*.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64))
✓	51.2%	(*.f64 (fabs.f64 #s(approx (- b a) (neg.f64 a))) #s(literal 1/2 binary64))
✓	52.1%	(*.f64 (fabs.f64 #s(approx (- b a) b)) #s(literal 1/2 binary64))

Compiler

Compiled 45 to 44 computations (2.2% saved)

regimes10.0ms (0.6%)

Memory

27.7MiB live, 27.6MiB allocated; 0ms collecting garbage

Counts

5 → 1

Calls

Call 1

Inputs
(*.f64 (fabs.f64 #s(approx (- b a) b)) #s(literal 1/2 binary64))
(*.f64 (fabs.f64 #s(approx (- b a) (neg.f64 a))) #s(literal 1/2 binary64))
(/.f64 (fabs.f64 #s(approx (- a b) (neg.f64 b))) #s(literal 2 binary64))
(*.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64))
(/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64))

Outputs
(*.f64 (fabs.f64 (-.f64 b a)) #s(literal 1/2 binary64))

Calls

5 calls:

2.0ms	(/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64))
2.0ms	(fabs.f64 (-.f64 a b))
2.0ms	(-.f64 a b)
2.0ms	b
2.0ms	a

Results

Accuracy	Segments	Branch
100.0%	1	`(-.f64 a b)`
100.0%	1	`(fabs.f64 (-.f64 a b))`
100.0%	1	`(/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64))`
100.0%	1	`a`
100.0%	1	`b`

Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes10.0ms (0.6%)

Memory

-26.9MiB live, 21.0MiB allocated; 3ms collecting garbage

Counts

3 → 2

Calls

Call 1

Inputs

(*.f64 (fabs.f64 #s(approx (- b a) b)) #s(literal 1/2 binary64))

(*.f64 (fabs.f64 #s(approx (- b a) (neg.f64 a))) #s(literal 1/2 binary64))

(/.f64 (fabs.f64 #s(approx (- a b) (neg.f64 b))) #s(literal 2 binary64))

Outputs
(*.f64 (fabs.f64 #s(approx (- b a) (neg.f64 a))) #s(literal 1/2 binary64))
(*.f64 (fabs.f64 #s(approx (- b a) b)) #s(literal 1/2 binary64))

Calls

5 calls:

3.0ms	b
1.0ms	(/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64))
1.0ms	(fabs.f64 (-.f64 a b))
1.0ms	a
1.0ms	(-.f64 a b)

Results

Accuracy	Segments	Branch
55.8%	2	`(-.f64 a b)`
55.8%	2	`(fabs.f64 (-.f64 a b))`
55.8%	2	`(/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64))`
85.8%	2	`a`
83.1%	2	`b`

Compiler

Compiled 15 to 17 computations (-13.3% saved)

regimes5.0ms (0.3%)

Memory

17.2MiB live, 17.2MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(*.f64 (fabs.f64 #s(approx (- b a) b)) #s(literal 1/2 binary64))

Outputs
(*.f64 (fabs.f64 #s(approx (- b a) b)) #s(literal 1/2 binary64))

Calls

5 calls:

1.0ms	(/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64))
1.0ms	b
1.0ms	(fabs.f64 (-.f64 a b))
1.0ms	a
1.0ms	(-.f64 a b)

Results

Accuracy	Segments	Branch
52.1%	1	`(fabs.f64 (-.f64 a b))`
52.1%	1	`(/.f64 (fabs.f64 (-.f64 a b)) #s(literal 2 binary64))`
52.1%	1	`(-.f64 a b)`
52.1%	1	`b`
52.1%	1	`a`

Compiler

Compiled 15 to 17 computations (-13.3% saved)

bsearch11.0ms (0.7%)

Memory

-26.8MiB live, 20.0MiB allocated; 2ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
10.0ms	-1.8295378249073672e-59	-1.0722151705491852e-63

Samples

5.0ms

128×

valid

Compiler

Compiled 129 to 147 computations (-14% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-fabs: 1.0ms (56.3% of total)

ival-div!: 1.0ms (56.3% of total)

ival-sub!: 0.0ms (0% of total)

adjust: 0.0ms (0% of total)

derivations117.0ms (7.5%)

Memory

-7.5MiB live, 136.9MiB allocated; 24ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 18 to 17 computations (5.6% saved)

preprocess39.0ms (2.4%)

Memory: 15.5MiB live, 111.2MiB allocated; 21ms collecting garbage
Compiler: Compiled 80 to 77 computations (3.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.1MiB allocated; 0ms collecting garbage

start0.0ms (0%)

analyze0.0ms (0%)

sample625.0ms (39.7%)

preprocess62.0ms (3.9%)

series4.0ms (0.3%)

rewrite267.0ms (17%)

eval8.0ms (0.5%)

prune3.0ms (0.2%)

series8.0ms (0.5%)

rewrite183.0ms (11.7%)

eval11.0ms (0.7%)

prune2.0ms (0.2%)

series3.0ms (0.2%)

rewrite200.0ms (12.7%)

eval3.0ms (0.2%)

prune2.0ms (0.2%)

regimes10.0ms (0.6%)

regimes10.0ms (0.6%)

regimes5.0ms (0.3%)

bsearch11.0ms (0.7%)

derivations117.0ms (7.5%)

preprocess39.0ms (2.4%)

end0.0ms (0%)

Profiling